Laura, David, and Carlos served a total of 115 orders Monday at the school cafeteria. David served 3 times as many orders as Carlos. Laura served 10 more orders than Carlos. How many orders did they each serve?

Step-by-step explanation:    ts  6  11    19    56

Laura, David, and Carlos served a total of 115 orders

David served 3 times as many orders as Carlos.                 David = 3x

Laura served 10 more orders than Carlos.                      let Carlos = x

How many orders did they each serve?                           Laura  =  x + 10

     Carlos  +  David  +  Laura  = 115

          x  +     3x    +    x+10       = 115

                        5x + 10     =  115

                               5x   =  115 - 10

                               5x   =  105

                                x   =   21    Carlos

                                          63   Davide

                                          31    Laura

                 add then up    115  Total

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer